49747128480 has 1440 divisors, whose sum is σ = 223055078400. Its totient is φ = 10424816640.

The previous prime is 49747128463. The next prime is 49747128503. The reversal of 49747128480 is 8482174794.

49747128480 is a `hidden beast` number, since 4 + 9 + 74 + 71 + 28 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a super-2 number, since 2×49747128480² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 1604746065 + ... + 1604746095.

It is an arithmetic number, because the mean of its divisors is an integer number (154899360).

Almost surely, 2^49747128480 is an apocalyptic number.

49747128480 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 49747128480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111527539200).

49747128480 is an abundant number, since it is smaller than the sum of its proper divisors (173307949920).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

49747128480 is a wasteful number, since it uses less digits than its factorization.

49747128480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 3612672, while the sum is 54.

The spelling of 49747128480 in words is "forty-nine billion, seven hundred forty-seven million, one hundred twenty-eight thousand, four hundred eighty".